Percentages

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create a correct sentence:

Hint

How can we figure out a way to make the two-digit number not have a decimal?

Answer

Number of Unique Solutions: 26
1: 2% of 650 = 13
2: 2% of 850 = 17
3: 4% of 925 = 37
4: 4% of 950 = 38
5: 5% of 260 = 13
6: 5% of 280 = 14
7: 5% of 320 = 16
8: 5% of 340 = 17
9: 5% of 360 = 18
10: 5% of 380 = 19
11: 5% of 460 = 23
12: 5% of 620 = 31
13: 5% of 640 = 32
14: 5% of 680 = 34
15: 5% of 720 = 36
16: 5% of 760 = 38
17: 5% of 780 = 39
18: 5% of 820 = 41
19: 5% of 860 = 43
20: 5% of 920 = 46
21: 5% of 960 = 48
22: 6% of 350 = 21
23: 6% of 450 = 27
24: 8% of 450 = 36
25: 8% of 925 = 74
26: 8% of 950 = 76

Source: Cecilia Calvo

Print Friendly, PDF & Email

Check Also

Greatest Common Factor

Directions: Using the digits 0 to 9 at most one time each, place a digit …

20 comments

  1. Nice! I was going to submit one in a similar vein.

    Using the numbers 1-9, at most one time each, fill in the boxes to create a correct sentence:

    [] [] % of [] [] is [] []?

    68% of 25 is 17
    25 % 68 of is 17

    25% of 76 is 19
    76% of 25 is 19

    92% of 75 is 69…

    All of the solutions involve a 75 or a 25

    Significantly harder:
    Three digits!

    Using the numbers 0-9, at most one time each, fill in the boxes to create a correct sentence:

    [] [] [] % of [] [] []is [] [] [] ?

    375 % 184 is 690.

    348% of 175 is 609.

  2. One answer out of many possible answers is 5% of 260 is 13

  3. My student got 8% of 950= 76. Is this a possible highest answer?

  4. It’s so easy I got 5% of 280=14

  5. 8% of 59=4.72

  6. 5% of 260=13 is one of the many solves for this problem

  7. I did it this way
    9% of 638 = 57

  8. 6% of 350= 21

  9. 68% of 50 is 34

  10. 6% of 350 = 21
    6% = 0.06
    350 * 0.06 = 21

  11. 5% of 640 is 32
    5% is 0.05
    640*0.05 is 32

  12. 2% of 650 = 13

  13. Challenge version: Only allow digits 1-9 instead of 0-9. Then we only have 2 solutions left from the list above:

    4% of 925 = 37
    8% of 925 = 74

    We can also rephrase this so that the percentage is 3-digit and the number is 1-digit:

    ▢▢▢% of ▢ = ▢▢.

    I like this because it reinforces the concept of percentages above 100%. All the solutions are exactly the same! E.g. “2% of 650 = 13” becomes “650% of 2 = 13”, etc.

    If you use the restricted version only allowing digits 1-9 then the two solutions are:

    925% of 4 = 37
    925% of 8 = 74

Leave a Reply to sean Cancel reply

Your email address will not be published. Required fields are marked *